62 

 But 



so that 

 and then, as 

 Ave have 



PROFESSOR A. R. FORSYTE ON THE INTEGRATION OF 



dw dw 



P ~" " CL 



dae 



d I dw 



dw 



1 d I dw die \ . I d*w 



l *> + ff o 



ra J )/ / * \ rfa; 3 



t/ / \ 



8 2 H -i 





7 



an equation to determine H. 



Substituting the value of 3 2 H/c?7 2 in the above expressions for I, m, n, we find 



(1 



^ + 



+ 



1 



?>i = 



which are the proper values of I, m, n, as given by 



i + .^' + H' 



z = u + xp + yq 



The value of H is not required for the preceding investigation ; but it can be 

 actually deduced from the preceding equation. We have 



also 



so that 



Thus the equation for H becomes 



_ r 

 ^ 



(i 



